Question

Equation of the line passing through $(1,2)$ and parallel to the line $y=3x-1$ is

Answer 1

Given line : $y=3x-1$

As the required line passes through $(1,2)$,

Then using point-slope form, the required

equation of line be

$y-2=m(x-1)$

Slope of given line is, $m_1=3$

Slope of required line will be $m=m_1=3$

$[\because$ Parallel lines have equal slope]

So, the required line equation becomes,

$y-2=3(x-1)$

Hence, Option (C) is correct.